Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 4)
4.
What will be the day of the week 15th August, 2010?
Sunday
Monday
Tuesday
Friday
Answer: Option
Explanation:

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.

Jan.  Feb.   March    April    May  June  July  Aug. 
(31 +  28  +  31   +   30   +  31  + 30  + 31  + 15) = 227 days

227 days = (32 weeks + 3 days) 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.

Given day is Sunday.

Discussion:
95 comments Page 2 of 10.

Vaibhav said:   1 decade ago
Hey, this type of questions can be easily done by following formula
---------------------------------------------------------------------------------
f= K+[(13m-1)/5]+ d+[d/4]+[c/4]-2c

Here k= date of which you have to calculate(15 in above que.)
m= month (for march, m=1 and so on..for jan m=11)
d= last two digit of given year(10 in above que.)
c= first two digit of given year(20 in above que.)
---------------------------------------------------------------------------------
note: take only integer value after division for ex. 13/5=2
---------------------------------------------------------------------------------

For given question

15th August, 2010?

f=15+[(13*6-1)/5]+10+[10/4]+[20/4]-2*20
=15+15+ 10 + 2 + 5 -40
=7

Now 7%7==0

So its SUNDAY.

Nithya said:   1 decade ago
How for march the value of month is 6? I don't understand the month value.

Vishnu said:   1 decade ago
9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.

How com tat 4 odd days ?

Sudhakar said:   1 decade ago
@vishnu : those 4 days are the result of 11days(divide these 11days into weeks and days, so u get 7+4,here 7days makes a week and do count those 4 extra days.) so finally we get 4ODD DAYS..

Malathy said:   1 decade ago
Dear friends,

Pls. explain which day will come on 25th dec 1992 with step by step procedure

Nagaraju said:   1 decade ago
Friends can you explain 7%7=0 taken as sunday how?

Rupali said:   1 decade ago
Why you are taken one time 1600, 400 or 1600, 300 in sum it's not possible to me to understand please help me?

Arshed Ahamed said:   1 decade ago
In 2nd and 3rd step, from where does that 1600 and 400 years came?

Arshad said:   1 decade ago
How to find odd years in 100 years, 80 years or so.... Is their any formula to find it rather to go year by year calculation.

Nagu said:   1 decade ago
How can I know 9 years = (7 ordinary years +2 leap years).


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